Let f, g : ℕ → ℕ such that... | Functions JEE Main 2021

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JEE MAIN 2021

25-02-21 S1

Question

Let $f, g: N \rightarrow N$ such that $f(n+1)=f(n)+f(1) \forall n \in N$ and $g$ be any arbitrary function. Which of the following statements is NOT true ?

Select the correct option:

A

If fog is one-one, then g is one-one

B

If $f$ is onto, then $f(n)=n \forall n \in N$

C

f is one-one

D

If g is onto, then fog is one-one

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